Toronto Math Forum

MAT244-2013F => MAT244 Math--Tests => MidTerm => Topic started by: Victor Ivrii on October 09, 2013, 07:24:11 PM

Title: MT, P6
Post by: Victor Ivrii on October 09, 2013, 07:24:11 PM
Demonstrate that the initial value problem
\begin{equation*}
y^3y' +t=0,\qquad y(0)=0
\end{equation*}
does not have a solution on any interval $(\alpha,\beta)$, where $\alpha<0<\beta$, and explain why this fact does not contradict the existence and uniqueness theorem for first order initial value problems (Theorem 2.4.2 in the textbook).
Title: Re: MT, P6
Post by: Alexander Lozano on October 09, 2013, 10:14:28 PM
Here's my solution
Title: Re: MT, P6
Post by: Xiaozeng Yu on October 09, 2013, 10:40:30 PM
6
Title: Re: MT, P6
Post by: Xiaozeng Yu on October 09, 2013, 10:45:20 PM
6 Y just not equal to 0, not y>0, typo
Title: Re: MT, P6
Post by: Victor Ivrii on October 10, 2013, 06:33:03 AM
Alexandro, your handwriting is atrocious.

Xiaozeng Yu, you post solutions, not ask questions how it will be graded (we leave it to TAs).